3 citations · 4 across the 2 of their papers we have counts for
2 papers
math.NA2024★ 3 cited
Solving forward and inverse PDE problems on unknown manifolds via physics-informed neural operators
Anran Jiao, Qile Yan, Jhn Harlim +1
In this paper, we evaluate the effectiveness of deep operator networks (DeepONets) in solving both forward and inverse problems of partial differential equations (PDEs) on unknown…
math.NA2023★ 1 cited
Generalized Finite Difference Method on unknown manifolds
Shixiao W. Jiang, Rongji Li, Qile Yan +1
In this paper, we extend the Generalized Finite Difference Method (GFDM) on unknown compact submanifolds of the Euclidean domain, identified by randomly sampled data that (almost s…